Finding the Third Proportional to 147,137 and 233,144

Step by Step Solution

1. Step 1: Write the proportion equation
   147,137 : 233,144 = 233,144 : x
2. Step 2: Convert to fraction form
   147,137/233,144 = 233,144/x
3. Step 3: Cross multiply
   147,137x = 233,144 × 233,144
4. Step 4: Simplify right side
   147,137x = 54,356,124,736
5. Step 5: Solve for x
   x = 54,356,124,736/147,137
6. Step 6: Final answer
   x = 369,425.26